{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import glob\n",
    "from PIL import Image\n",
    "from collections import Counter\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_data_dir = '../Train_label.csv'\n",
    "test_data_dir = '../submit_example.csv'\n",
    "\n",
    "train_df = pd.read_csv(train_data_dir)\n",
    "train_img_paths = list(train_df['FileName'])\n",
    "local_path = '../Train/'\n",
    "for i in range(len(train_img_paths)):\n",
    "    train_img_paths[i] = local_path + train_img_paths[i]\n",
    "    \n",
    "test_df = pd.read_csv(test_data_dir)\n",
    "test_img_paths = list(test_df['FileName'])\n",
    "local_path = '../Test/'\n",
    "for i in range(len(test_img_paths)):\n",
    "    test_img_paths[i] = local_path + test_img_paths[i]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_paths = train_img_paths + test_img_paths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "size_1 = []\n",
    "size_2 = []\n",
    "for i in img_paths:\n",
    "    img = Image.open(i)\n",
    "    size_1.append(img.size[0])\n",
    "    size_2.append(img.size[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 0.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " 3.0,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 2.0,\n",
       " ...]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bili = []\n",
    "for c,k in zip(size_1,size_2):\n",
    "    b =c/k\n",
    "    bili.append(b)\n",
    "bili_0 = [round(i,0) for i in bili]\n",
    "bili_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({0.0: 17, 1.0: 5834, 2.0: 4775, 3.0: 23, 5.0: 2})"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bili_0= Counter(bili_0)\n",
    "bili_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1.5, 3718),\n",
       " (1.3, 1824),\n",
       " (1.8, 1137),\n",
       " (1.4, 869),\n",
       " (0.7, 647),\n",
       " (1.6, 645),\n",
       " (0.8, 503),\n",
       " (1.7, 378),\n",
       " (1.0, 238),\n",
       " (0.6, 201)]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bili_1 = [round(i,1) for i in bili]\n",
    "bili_1= Counter(bili_1).most_common(10)\n",
    "bili_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.bar(range(len(bili)), bili)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "chang = Counter(size_1).most_common(5)\n",
    "kuan   = Counter(size_2).most_common(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1.8,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 2.1,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 0.8,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.1,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.8,\n",
       " 1.8,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.7,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.1,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 0.6,\n",
       " 1.8,\n",
       " 1.7,\n",
       " 0.7,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.4,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.2,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.1,\n",
       " 1.8,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 0.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.3,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.1,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 0.9,\n",
       " 1.6,\n",
       " 0.7,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.9,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.7,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 1.8,\n",
       " 1.6,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 2.2,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.6,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.6,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.7,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 2.2,\n",
       " 1.9,\n",
       " 1.7,\n",
       " 1.7,\n",
       " 1.6,\n",
       " 1.0,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 0.6,\n",
       " 0.9,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 0.6,\n",
       " 0.7,\n",
       " 1.3,\n",
       " 1.0,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 0.6,\n",
       " 0.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 2.1,\n",
       " 1.6,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 0.7,\n",
       " 1.8,\n",
       " 1.2,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 1.8,\n",
       " 0.7,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 2.3,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.2,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.3,\n",
       " 1.6,\n",
       " 1.6,\n",
       " 1.6,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 2.0,\n",
       " 1.6,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 1.2,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.7,\n",
       " 1.2,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.6,\n",
       " 3.0,\n",
       " 1.6,\n",
       " 1.6,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 0.7,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 0.6,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.3,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 0.6,\n",
       " 1.4,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 0.7,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.8,\n",
       " 2.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.2,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 0.6,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.4,\n",
       " 1.0,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.7,\n",
       " 0.7,\n",
       " 0.6,\n",
       " 1.7,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.7,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.1,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 0.8,\n",
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       " 1.3,\n",
       " 1.8,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.7,\n",
       " 1.4,\n",
       " 1.4,\n",
       " 1.7,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 0.8,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 0.8,\n",
       " 1.7,\n",
       " 1.3,\n",
       " 0.7,\n",
       " 1.4,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.7,\n",
       " 0.6,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.9,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.8,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 0.6,\n",
       " 1.4,\n",
       " 1.6,\n",
       " 1.2,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 0.9,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.2,\n",
       " 1.5,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.0,\n",
       " 0.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.7,\n",
       " 1.3,\n",
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       " 1.5,\n",
       " 1.8,\n",
       " 0.8,\n",
       " 1.6,\n",
       " 1.7,\n",
       " 0.7,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 1.0,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 1.5,\n",
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       " 1.3,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.7,\n",
       " 1.4,\n",
       " 1.2,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.8,\n",
       " 1.6,\n",
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       " 0.8,\n",
       " 1.4,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 0.8,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 0.6,\n",
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       " 1.3,\n",
       " 1.0,\n",
       " 1.5,\n",
       " 1.8,\n",
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       " 1.1,\n",
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       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.0,\n",
       " 1.6,\n",
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       " 1.5,\n",
       " 1.4,\n",
       " 1.6,\n",
       " 1.5,\n",
       " 1.6,\n",
       " 1.3,\n",
       " 1.8,\n",
       " 1.7,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 1.5,\n",
       " 0.7,\n",
       " 0.7,\n",
       " 1.4,\n",
       " 1.5,\n",
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       " 1.4,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.7,\n",
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       " 1.4,\n",
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       " 1.3,\n",
       " 0.7,\n",
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       " 1.3,\n",
       " 1.8,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.5,\n",
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       " 1.1,\n",
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       " 1.6,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 0.5,\n",
       " 1.7,\n",
       " 1.4,\n",
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       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.3,\n",
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       " 1.4,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
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       " 1.6,\n",
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       " 1.2,\n",
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       " 1.4,\n",
       " 0.8,\n",
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       " 1.5,\n",
       " 1.5,\n",
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       " 1.5,\n",
       " 1.4,\n",
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       " 1.5,\n",
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       " 1.4,\n",
       " 1.8,\n",
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       " 1.3,\n",
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       " 1.8,\n",
       " 1.4,\n",
       " 1.5,\n",
       " 1.5,\n",
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       " 1.6,\n",
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       " 0.8,\n",
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       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
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       " 1.8,\n",
       " 0.8,\n",
       " 1.5,\n",
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       " 1.4,\n",
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       " 1.8,\n",
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       " 1.5,\n",
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       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.4,\n",
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       " 1.5,\n",
       " 1.5,\n",
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       " 1.5,\n",
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       " 1.5,\n",
       " 1.5,\n",
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       " 1.8,\n",
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       " 1.3,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.4,\n",
       " 1.5,\n",
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       " 1.5,\n",
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       " 1.7,\n",
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       " 1.5,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 0.8,\n",
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       " 1.5,\n",
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       " 1.5,\n",
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       " 1.4,\n",
       " 1.5,\n",
       " 1.5,\n",
       " 1.7,\n",
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       " 1.5,\n",
       " 1.3,\n",
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       " 1.5,\n",
       " 1.5,\n",
       " 1.7,\n",
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       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
       " 1.8,\n",
       " 1.5,\n",
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       " 1.5,\n",
       " 0.7,\n",
       " 0.7,\n",
       " 1.4,\n",
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     "execution_count": 13,
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